AlgebraHardWord-problem inequality with a whole-number answer
Algebra practice question
A print shop charges a $15 setup fee plus $4 per poster. A club has a budget of $110 for posters. What is the greatest number of posters the club can order?
Answer: 23
15 + 4p ≤ 110, so 4p ≤ 95 and p ≤ 23.75. Posters come in whole numbers, so the greatest is 23. Check: 15 + 92 = $107, within budget; 24 posters would cost $111.
Common wrong answers
- If you answered 24
- 24 rounds 23.75 UP, but 24 posters cost $111, over the $110 budget.
- If you answered 27
- 27 is 110 / 4, ignoring the $15 setup fee.
- If you answered 31
- 31 is (110 + 15) / 4 — the fee was added to the budget instead of subtracted from it.
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